Question

name
combining like terms
a
combining like terms
5c + 4 + c + 2
b
combining like terms
6y + y - 2y
c
combining like terms
10b + b - b
d
combining like terms
12g + 3 - g +2
e
combining like terms
5m + 3 - 2m - 3
f
combining like terms
7n + 4n - 4n + 7

Explanation:

Problem A: \( 5c + 4 + c + 2 \)

Step1: Identify like terms

Like terms: \( 5c \) and \( c \); \( 4 \) and \( 2 \)

Step2: Combine like terms

For \( c \)-terms: \( 5c + c = 6c \)
For constant terms: \( 4 + 2 = 6 \)

Step3: Write the result

\( 6c + 6 \)

Problem B: \( 6y + y - 2y \)

Step1: Identify like terms

All terms have \( y \), so they are like terms.

Step2: Combine like terms

\( 6y + y - 2y = (6 + 1 - 2)y \)

Step3: Calculate the coefficient

\( 6 + 1 - 2 = 5 \), so \( 5y \)

Problem C: \( 10b + b - b \)

Step1: Identify like terms

All terms have \( b \), so they are like terms.

Step2: Combine like terms

\( 10b + b - b = (10 + 1 - 1)b \)

Step3: Calculate the coefficient

\( 10 + 1 - 1 = 10 \), so \( 10b \)

Problem D: \( 12g + 3 - g + 2 \)

Answer:

s:
A: \( \boldsymbol{6c + 6} \)
B: \( \boldsymbol{5y} \)
C: \( \boldsymbol{10b} \)
D: \( \boldsymbol{11g + 5} \)
E: \( \boldsymbol{3m} \)
F: \( \boldsymbol{7n + 7} \)